moochpoop moochpoop
  • 04-05-2022
  • Mathematics
contestada

A parabola y= ax^2 + k
passes through the points (-1, -3) and (3, 13). Find the values of a and k

Respuesta :

bobymcbobbing bobymcbobbing
  • 04-05-2022

Answer:

use vertex form of parabola:

y=a%28x-h%29%5E2%2Bk....if vertex (0,7), we have

y=a%28x-0%29%5E2%2B7

y=ax%5E2%2B7......use point (3,2) to find a

2=a%2A3%5E2%2B7

2=9a%2B7

2-7=9a

-5=9a

a=-5%2F9

so, your equation is: y=-%285%2F9%29x%5E2%2B7

Step-by-step explanation:

Answer Link

Otras preguntas

Many people migrated to the Sunbelt to A. buy inexpensive land and start family farms. B. work in the defense, aerospace, electronics, and petrochemical industr
What is the probability of rolling a 6 sided die and gettin a 2 or an odd number
15 Points! 8th grade math! Let f be the function given by f(x) = 3x + |4 − x| . Find and simplify: f(5) + [f(−1)]^2
What is the type of bond with ΔEN=1.7? Ionic or polar covalent?
Explain what a gymnosperm and angiosperm are, and the evolutionary advantage each has.
What did the change in immigration policies between the 1920s and e 1560s reveal about the United States
Evelyn has taken out a college loan. She needs to pay $500 every month for two years to repay the loan. What kind of loan does she have? A. a fixed-rate loan
When you burn wood in a campfire_________energy is converted to_________and light energy
help please thanks so much
Find the area of each shade region (can you do both for me please)